document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=540807>Question 540807</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a,b and c are two horses took part in a race. a is twice as likely to win as b , and b is twice as likely to win as c , what are their respective chance of winning ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #353881 by </B><A HREF=/tutors/aboutme.mpl?userid=fcabanski><B>fcabanski(1391)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fcabanski><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=353881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a, b and c are the chances of horses a, b and c winning.<P><BR>\n" );
document.write( " a=2b<BR>\n" );
document.write( "b=2c<BR>\n" );
document.write( "c=c<P><BR>\n" );
document.write( "Since a is twice as likely to win as b, a can be expressed as 2*2c = 4c<P><BR>\n" );
document.write( "They all add up to 100.<P><BR>\n" );
document.write( "4c + 2c + c = 100<P><BR>\n" );
document.write( "7c = 100<P><BR>\n" );
document.write( "c = 100/7 = 14.2857 = 14.29%<P><BR>\n" );
document.write( "b = 2 * 14.2857 = 28.57<P><BR>\n" );
document.write( "a = 4c = 4*14.2857 = 57.14<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );